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Finding the Third Proportional to 5,758 and 8,296

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Solution

The third proportional to 5,758 and 8,296 is: 11,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758 : 8,296 = 8,296 : x
  2. Step 2: Convert to fraction form
    5,758/8,296 = 8,296/x
  3. Step 3: Cross multiply
    5,758x = 8,296 × 8,296
  4. Step 4: Simplify right side
    5,758x = 68,823,616
  5. Step 5: Solve for x
    x = 68,823,616/5,758
  6. Step 6: Final answer
    x = 11,952.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.